Model of Compressible Iimmiscible Fluid with General Navier Boundary Condition
偏微分方程学术报告
报告题目(Title)：Model of Compressible Iimmiscible Fluid with General Navier Boundary Condition
报告人(Speaker)：施小丁 (北京化工大学)
地点(Place)：后主楼1124
时间(Time)：2019年4月11日 16:00-16:50
邀请人(Inviter)：李海刚
报告摘要
In this talk, we will introduce the compressible Navier-Stokes-Cahn-Hilliard system, which is an important model to describe two immiscible compressible viscous fluids with diffuse interface. The generalized Navier boundary condition is established in order to solve the problem of moving contact lines on the solid boundary by using the principle of minimum energy dissipation. The existence and uniqueness of local strong solution for this problem is proved. The sharp interface limit is derived by a matched asymptotic expansion, the relationship between the density, velocity of the immiscible two-phase flow, the surface tension, the curvature and the velocity of the interface on both sides of the sharp interface are given.
